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Finding the Fourth Proportional to 221,585.32, 305,809.86 and 132,161.32

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Solution

The fourth proportional to 221,585.32, 305,809.86 and 132,161.32 is: 182,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,585.32 : 305,809.86 = 132,161.32 : x
  2. Step 2: Convert to fraction form
    221,585.32/305,809.86 = 132,161.32/x
  3. Step 3: Cross multiply
    221,585.32x = 305,809.86 × 132,161.32
  4. Step 4: Simplify right side
    221,585.32x = 40,416,234,766.62
  5. Step 5: Solve for x
    x = 40,416,234,766.62/221,585.32
  6. Step 6: Final answer
    x = 182,395.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.